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Explore the cost breakdown of balloon propulsion system in AAE 450 project, covering items like balloon pricing, gondola costs, gas volume calculation, and ground support expenses.
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Jerald A. Balta3/27/2008Propulsion Team/CADFinal Slides AAE 450 Spring 2008
Balloon Cost Modifier • Balloon Cost Items • Balloon – Price quote from Aerostar International • Helium – Priced at $4.87 per cubic meter • Gondola- Constant Price of $13205.30 AAE 450 Spring 2008
Balloon Cost AAE 450 Spring 2008 Cost Trend Equation y = -0.0011x2 + 30.62x + 3111.1 y= Cost x=Balloon Payload 3<#>
Balloon Model Buoyancy • Free Body Diagram • Two forces acting on Spherical Balloon • Buoyancy Force • Defined by difference between masses of lifting gas and air multiplied by gravitational constant • Weight Weight
Derivation of Balloon Dimensions • Lifting Coefficient • Ρg is density of lifting gas • Ρa is density of air • Boyle’s and Guy Sac laws • Rho is density • P is pressure • T is Temperature
Derivation of Balloon Dimensions Continued • Combine Equations to determine lifting coefficient for different heights • Take into account 95% Gas purity and standard excess of 15% lifting gas • Final Equation for Volume of Gas in relation to Mass • V is Volume of lifting gas • M is total Mass
Gondola Costs • Structures Cost of $1205.30 • Material • Welding • Riveting • Avionics Cost of $12000 • One Battery • Sensors • Total Gondola Cost of $13,205.30 Provided by Sarah Shoemaker, Structures Group, and Avionics Group
Ground Support and Handling Cost Modifier • Handling – Personnel required for handling of fuels, toxic materials, etc • Ground Support – Based on estimation of salaries of necessary personnel • Assumed $100/hour salary • 6 engineers from all teams and one manager
References • Defense Energy Support Center, “MISSILE FUELS STANDARD PRICES EFFECTIVE 1 OCT 2007,” Aerospace Energy Reference, November 2007 • Larson, W.J., Wertz, J.R., "Space Cost Modeling," Space Mission Analysis and Design, 2nd ed., Microcosm, Inc., California and Kluwer Academic Publishers, London, 1992, pp. 715-731. • Smith, Mike, Phone Conversation, Aerostar International, February 15, 2008 • Tangren, C.D., "Air Calculating Payload for a Tethered Balloon System," Forest Service Research Note SE-298, U.S. Department of Agriculture - Southeastern Forest Experiment Station, Asheville, North Carolina, August 1980.